Dirichlet character \(\chi_{924364}(897369,\cdot)\)

• Label: 924364.897369
• Modulus: $924364$
• Conductor: $231091$
• Order: $42$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(924364\)
Conductor:	\(231091\)
Order:	\(42\)
Real:	no
Primitive:	no, induced from \(\chi_{231091}(204096,\cdot)\)
Minimal:	yes
Parity:	even

Galois orbit 924364.fe

\(\chi_{924364}(47765,\cdot)\) \(\chi_{924364}(209941,\cdot)\) \(\chi_{924364}(263041,\cdot)\) \(\chi_{924364}(289753,\cdot)\) \(\chi_{924364}(390485,\cdot)\) \(\chi_{924364}(392305,\cdot)\) \(\chi_{924364}(429361,\cdot)\) \(\chi_{924364}(522629,\cdot)\) \(\chi_{924364}(652733,\cdot)\) \(\chi_{924364}(852917,\cdot)\) \(\chi_{924364}(895001,\cdot)\) \(\chi_{924364}(897369,\cdot)\)

Related number fields

Field of values:	\(\Q(\zeta_{21})\)
Fixed field:	Number field defined by a degree 42 polynomial

Values on generators

\((462183,528209,792317)\) → \((1,e\left(\frac{2}{3}\right),e\left(\frac{19}{42}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(23\)	\(25\)
\( \chi_{ 924364 }(897369, a) \)	\(1\)	\(1\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{4}{7}\right)\)